摘要
证明了带加法噪音扰动的Benjamin-Bona-Mahony方程的随机吸引子在H10(Q)的拓扑下在零点处的上半连续性.在方法上,尾部估计、正交投影和Kuratowski测度是证明系统一致Omega紧性的关键.
It has been investigated that the family of random attractors fo r Benjamin-Bona-Mahony （B BM ） equation perturbed by the additive noise on unbounded domains is upper semi-continuous at zero point un-der the topology of HJ （Q）. The methods of ta i l-estimates, canonical projection and K uratowski measure are essential for the uniform Omega-compactness of systems.
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2016年第11期15-19,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(11571283)
贵州省教育厅自然科学基金资助(KY[2016]103)
